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Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains

By Guoqiang Tian

Abstract

This note gives some fixed point theorems for lower and upper semi-continuous mappings and mappings with open lower sections defined on non-compact and non-convex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some well-known fixed point theorems such as the Kakutani fixed point theorem and the Brouwer-Schauder fixed point theorem by relaxing the compactness and convexity conditions.

Topics: D5 - General Equilibrium and Disequilibrium
Year: 1989
DOI identifier: 10.1016/0022-247x(91)90274-4
OAI identifier: oai:mpra.ub.uni-muenchen.de:41299

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